An analysis of several methods for approximately solving the mechanical alloying equation

DOI10.1080/00036818908839891zbMath0652.70011OpenAlexW2019713039MaRDI QIDQ3798316

John W. Hilgers

Publication date: 1989

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818908839891

zbMATH Keywords

discretizationconvergence ratesperturbationerror boundscoalescencepower series expansionconcurrent fracturemethod of Picard iterationquadratic integrodifferential evolution equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Theoretical approximation of solutions to integral equations (45L05) Collision of rigid or pseudo-rigid bodies (70F35)

Cites Work

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• Numerical solution of the dynamic equation for particulate systems
• A perturbation method for solving a quadratic evolution equation
• Adaptive grids in numerical fluid dynamics
• A variation of the coagulation equation with applications in material sciences
• The Numerical Evaluation of B-Splines

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